90650907854976 has 128 divisors (see below), whose sum is σ = 275479025846400. Its totient is φ = 25873081049088.

The previous prime is 90650907854971. The next prime is 90650907854989. The reversal of 90650907854976 is 67945870905609.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 90650907854898 and 90650907854907.

It is not an unprimeable number, because it can be changed into a prime (90650907854971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15132091 + ... + 20255418.

It is an arithmetic number, because the mean of its divisors is an integer number (2152179889425).

Almost surely, 2^{90650907854976} is an apocalyptic number.

90650907854976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90650907854976 is an abundant number, since it is smaller than the sum of its proper divisors (184828117991424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90650907854976 is a wasteful number, since it uses less digits than its factorization.

90650907854976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35388486 (or 35388474 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 90650907854976 in words is "ninety trillion, six hundred fifty billion, nine hundred seven million, eight hundred fifty-four thousand, nine hundred seventy-six".